Complex analysis | Fractals | Dynamical systems

Quasicircle

In mathematics, a quasicircle is a Jordan curve in the complex plane that is the image of a circle under a quasiconformal mapping of the plane onto itself. Originally introduced independently by and , in the older literature (in German) they were referred to as quasiconformal curves, a terminology which also applied to arcs. In complex analysis and geometric function theory, quasicircles play a fundamental role in the description of the universal Teichmüller space, through quasisymmetric homeomorphisms of the circle. Quasicircles also play an important role in complex dynamical systems. (Wikipedia).

Quasicircle
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How to evaluate the composition of tangent inverse and cotangent

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

From playlist Evaluate a Composition of Inverse Trigonometric Functions

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Introduction to Inverse Cosecant, Inverse Secant, and Inverse Cotangent

Introduction to the inverse functions of cosecant, secant, and cotangent http://mathispower4u.wordpress.com/

From playlist Inverse Trigonometric Functions

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From playlist Evaluate a Composition of Inverse Trigonometric Functions

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How to evaluate for the composition of two trigonometric functions

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From playlist Evaluate a Composition of Inverse Trigonometric Functions

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Composition of inverses using a triangle with variables

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

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Using composition of inverses using triangles

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Evaluate the cosine of inverse tangent - free online tutoring

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

From playlist Evaluate a Composition of Inverse Trigonometric Functions

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Yilin Wang - 3/3 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

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From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory

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Yilin Wang - 2/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is

From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory

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Evaluating the composition of inverse functions

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

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Yilin Wang - 1/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

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Inverse Functions (part one)

An introduction to inverse functions. I talk about what an inverse function is, the relationship between domain and range, and the composition of two inverse functions. Stay tuned for part two! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/b

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Yilin Wang - 4/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

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From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory

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Complex analysis | Julia set | Carathéodory's theorem (conformal mapping) | Prime end | Limit set | Quasisymmetric map | Univalent function | Hyperbolic 3-manifold | Beltrami equation | Universal Teichmüller space | Fuchsian group | Complex plane | Quasi-Fuchsian group | Riemann surface | Mathematics | Lipschitz continuity | Quasiconformal mapping | Riemann mapping theorem | Holomorphic function | Möbius transformation | Hausdorff dimension | Geometric function theory | Douady rabbit | Koch snowflake | Circle | Cross-ratio